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Finding the Fourth Proportional to 282,564.90, 389,946.78 and 155,243.70

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Solution

The fourth proportional to 282,564.90, 389,946.78 and 155,243.70 is: 214,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,564.90 : 389,946.78 = 155,243.70 : x
  2. Step 2: Convert to fraction form
    282,564.90/389,946.78 = 155,243.70/x
  3. Step 3: Cross multiply
    282,564.90x = 389,946.78 × 155,243.70
  4. Step 4: Simplify right side
    282,564.90x = 60,536,780,930.29
  5. Step 5: Solve for x
    x = 60,536,780,930.29/282,564.90
  6. Step 6: Final answer
    x = 214,240.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.